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- Publisher Website: 10.1093/imrn/rnz115
- Scopus: eid_2-s2.0-85118789507
- WOS: WOS:000731071200002
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Article: Inducing super-approximation
| Title | Inducing super-approximation |
|---|---|
| Authors | |
| Issue Date | 2021 |
| Publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org |
| Citation | International Mathematics Research Notices, 2021, v. 2021 n. 14, p. 10442-10468 How to Cite? |
| Abstract | Let Γ2⊆Γ1 be finitely generated subgroups of GLn0(Z[1/q0]) where q0 is a positive integer. For i=1 or 2, let Gi be the Zariski-closure of Γi in (GLn0)Q, G∘i be the Zariski-connected component of Gi, and let Gi be the closure of Γi in ∏p∤q0GLn0(Zp). In this article we prove that if G∘1 is the smallest closed normal subgroup of G∘1 that contains G∘2 and Γ2↷G2 has spectral gap, then Γ1↷G1 has spectral gap. |
| Persistent Identifier | http://hdl.handle.net/10722/289726 |
| ISSN | 2021 Impact Factor: 1.530 2020 SCImago Journal Rankings: 1.757 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Salehi-Golsefidy, A | - |
| dc.contributor.author | Zhang, X | - |
| dc.date.accessioned | 2020-10-22T08:16:35Z | - |
| dc.date.available | 2020-10-22T08:16:35Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | International Mathematics Research Notices, 2021, v. 2021 n. 14, p. 10442-10468 | - |
| dc.identifier.issn | 1073-7928 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/289726 | - |
| dc.description.abstract | Let Γ2⊆Γ1 be finitely generated subgroups of GLn0(Z[1/q0]) where q0 is a positive integer. For i=1 or 2, let Gi be the Zariski-closure of Γi in (GLn0)Q, G∘i be the Zariski-connected component of Gi, and let Gi be the closure of Γi in ∏p∤q0GLn0(Zp). In this article we prove that if G∘1 is the smallest closed normal subgroup of G∘1 that contains G∘2 and Γ2↷G2 has spectral gap, then Γ1↷G1 has spectral gap. | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org | - |
| dc.relation.ispartof | International Mathematics Research Notices | - |
| dc.rights | Post-print: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: xxxxxxx [insert URL that the author will receive upon publication here]. | - |
| dc.title | Inducing super-approximation | - |
| dc.type | Article | - |
| dc.identifier.email | Zhang, X: xz27@hku.hk | - |
| dc.identifier.authority | Zhang, X=rp02608 | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.doi | 10.1093/imrn/rnz115 | - |
| dc.identifier.scopus | eid_2-s2.0-85118789507 | - |
| dc.identifier.hkuros | 317193 | - |
| dc.identifier.volume | 2021 | - |
| dc.identifier.issue | 14 | - |
| dc.identifier.spage | 10442 | - |
| dc.identifier.epage | 10468 | - |
| dc.identifier.isi | WOS:000731071200002 | - |
| dc.publisher.place | United Kingdom | - |
| dc.identifier.issnl | 1073-7928 | - |